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#operation

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Offentlig *
Pustam | पुस्तम | পুস্তম🇳🇵

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: bit.ly/22kbNfi

Gizmodo · Digital Music Couldn't Exist Without the Fourier TransformThis is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny
#Fourier#FourierTransform#Transform
Offentlig
Farhad

Mellies operation went well. She now has a metal piece in her right leg.

Going to pick her up at 4:30pm today.

Have to get a taxi home because I can't get her home with public transportation.

I'm really worried about her. But hopefully she will be able to run again and be happy.

#Mellie#Surgery#MyDog
Offentlig
Farhad

Spent an hour an a half at the #veterinary office today.

Mellie has been feeling bad and can't use her left leg. Daily massage and slow walks plus the #medicine the vet gave last time I was there didn't help.

After an x-ray, he told me that she has a cut tandem and need an operation.

Going to see a specialist in #Nice tomorrow and have operation time on Thursday.

Poor puppy, I feel so bad for her. it's going to be really hard days ahead of us.

#Mellie#Mypuppy#Dogs
Continued thread
Offentlig
Tim Mak

Ukraine’s military conducted its first fully robotic #operation.

This attack was done in the #Kharkiv region using dozens of robotic #vehicles and d#rones.

With manpower shortages and Russian numerical superiority, such tactics could help conserve Ukraine's human resources.

kyivindependent.com/for-first-

The Kyiv Independent · For first time, Ukraine attacks Russian positions using solely ground, FPV dronesAv The Kyiv Independent news desk
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